of Definite Integrals. 443 



After the value of 8 had been found, we might have found 

 the value oi y, without staying to find S' ; for since 



^=\.y.V, and p = lJ-.S; 

 ax a- dor a' 



^d'y d'S ^dy dS , „ 



.■.y = ^sff,, 



\ [dS ' ^ 



and u = -r cTx:- + 



A a ISdx "^ ^„ r 



'dx\ • 



R. MURPHY. 



Caius College, 

 May 24, 1830. 



